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Oman · Grade 8 · Practice Sheet 45

Sheet code: OMAN-G8-S45 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    A value changes from 98 to 133. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change
    % change=new−oldold×100\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100
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  2. 2.

    A right-angled triangle has legs of 14 cm and 19 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  3. 3.

    What is 30% of 310?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  4. 4.

    Find the mean (average) of these numbers: 81, 15, 24, 38, 70, 99.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  5. 5.

    A car travels 255 km in 3 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  6. 6.

    A force of 239 N acts on an area of 1.6 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  7. 7.

    OMR 3,900 is invested at 3% simple interest per year for 4 years. Find the interest earned.

    Formula:Simple Interest
    I=P×r×t100I = \dfrac{P \times r \times t}{100}
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  8. 8.

    A car travels 228 km in 6 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  9. 9.

    Find the circumference of a circle whose radius is 5 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle
    C=2πrC = 2\pi r
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  10. 10.

    Find the mean (average) of these numbers: 80, 98, 69, 27.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  11. 11.

    An object has mass 7 g and volume 7 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  12. 12.

    OMR 4,200 is invested at 7.5% simple interest per year for 4 years. Find the interest earned.

    Formula:Simple Interest
    I=P×r×t100I = \dfrac{P \times r \times t}{100}
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  13. 13.

    A cylinder has radius 13 cm and height 11 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder
    V=πr2hV = \pi r^2 h
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  14. 14.

    A value changes from 138 to 183. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change
    % change=new−oldold×100\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100
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  15. 15.

    A train moves at 53 km/h for 5.2 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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  16. 16.

    Solve for x: 5x + 20 = 40.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  17. 17.

    What is 15% of 500?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  18. 18.

    A bag has 19 equally likely marbles, of which 3 are red. Find the probability of drawing a red marble (to 3 d.p.).

    Formula:Simple Probability
    P(E)=favourabletotalP(E) = \dfrac{\text{favourable}}{\text{total}}
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  19. 19.

    An object has mass 123 g and volume 30 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  20. 20.

    A train moves at 88 km/h for 4.5 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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